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romanna [79]
3 years ago
5

If someone knows the answer please help . Lots of points !

Mathematics
1 answer:
dem82 [27]3 years ago
3 0

Answer:

Step-by-step explanation:

Given function is,

f(x) = -4(x - 3)² + 1

A). Negative sign of the coefficient (-4) tells that the parabola opens downwards.

    And 4 represents that the parent function is stretched vertically by 4 units.

B). By comparing this equation with the vertex form of the quadratic function,

    f(x) = a(x - h)² + k  

    Here, (h, k) is the vertex of parabola.

    Vertex of the given parabola → (3, 1)

C). Axis of symmetry → x = 3

D). Domain of the given quadratic function → (-∞, ∞)

     Range of the given function → (-∞, 1)

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Use the given information to find the p​-value. ​Also, use a 0.05 significance level and state the conclusion about the null hyp
Hatshy [7]

Answer:

We can assume that the statistic is z_{calc}=0.78

p_v = 2* P(z>0.78) = 0.435

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5

Step-by-step explanation:

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 3/5 or not.:  

Null hypothesis:p=3/5  

Alternative hypothesis:p \neq 3/5  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

We can assume that the statistic is z_{calc}=0.78

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:

p_v = 2* P(z>0.78) = 0.435

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5

7 0
3 years ago
The exterior angle measure of a regular polygon is 20 degrees. How many sides does the polygon have?
Gwar [14]
The polygon has 18 sides. To find an exterior angle you have to divide 360 by the number of sides in the polygon to find the measure of an exterior angle. Since each exterior angle equals 20 degrees, you would divide 360 by 20 which would equal 18 sides.
3 0
3 years ago
A, B, C, OR D ?!?!??!?!?!?!?
nadezda [96]
The answer would be letter A
7 0
3 years ago
Rick bought 3 shirts for $18 each, 2 pair of socks for $3.99 a pair, and a pair of slacks, for $45.00. The sales tax is 8.5%. Ho
ivolga24 [154]
Price of 3 shirts=$18*3=$54
Price of 2 pair of socks=2*$3.99=$7.98
Price of a pair of slack=$45
Total amount- $54+$7.98+ $45-$106.98
Sales tax rate = 8.5%
8.5% of total amount-8.5% of $106.98=
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Total amount Rick paid=$106.98+9.0933=$116.0733
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3 years ago
1 hundred thousand 4 tens 3 ones 3 thousand and 7 hundred
Mazyrski [523]

Answer: Simplified it would be 103,743

Hope this helps! :)

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